Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-10-30
Class.Quant.Grav.26:235020,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, accepted for publication in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/26/23/235020
In this paper, the crucial phenomenon of the expansion of the universe has been discussed. For this purpose, we study the vacuum solutions of Bianchi types $I$ and $V$ spacetimes in the framework of $f(R)$ gravity. In particular, we find two exact solutions in each case by using the variation law of Hubble parameter. These solutions correspond to two models of the universe. The first solution gives a singular model while the second solution provides a non-singular model. The physical behavior of these models is discussed. Moreover, the function of the Ricci scalar is evaluated for both the models in each case.
Shamir Muhammad Farasat
Sharif Mai
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